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In: Statistics and Probability

Thank you! For this question, you will flip fair coin to take some samples and analyze...

Thank you!

For this question, you will flip fair coin to take some samples and analyze them. First, take any fair coinand flip it 12 times. Count the number of heads out of the 12 flips. This is your first sample. Do this 4 more timesand count the number of heads out of the 12 flips in each sample. Thus, you should have 5 samples of 12 flipseach. The important number is the number of heads in each sample (this can be any whole number between 0 and12). Then answer the following questions:

(A) If you had a very large number of samples, what value(s) should the mean and median have? Why?

(B) In general, what proportion of samples of fair coin flips (when N is sufficiently large that a rejection region of the binomial distribution exists) should result in rejecting the null hypothesis (a = .05, two-tailed)?

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